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Kamal likes to go on canoe trips, and on each trip he purchases oars to keep as souvenirs. His collection of oars is organized by decade and type of wood.





Spruce wood
Ash wood


2010 s
2
2


2020 s
5
4




What is the probability that a randomly selected oar was not purchased in the 2010s and was not made from spruce wood?
Simplify any fractions.

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Kamal likes to go on canoe trips, and on each trip he purchases oars to keep as souvenirs. His collection of oars is organized by decade and type of wood.\newline\begin{tabular}{|c|c|c|}\newline\hline & Spruce wood & Ash wood \\\newline\hline 20102010 s & 22 & 22 \\\newline\hline 20202020 s & 55 & 44 \\\newline\hline\newline\end{tabular}\newlineWhat is the probability that a randomly selected oar was not purchased in the 20102010s and was not made from spruce wood?\newlineSimplify any fractions.\newline \square

Full solution

Q. Kamal likes to go on canoe trips, and on each trip he purchases oars to keep as souvenirs. His collection of oars is organized by decade and type of wood.\newline\begin{tabular}{|c|c|c|}\newline\hline & Spruce wood & Ash wood \\\newline\hline 20102010 s & 22 & 22 \\\newline\hline 20202020 s & 55 & 44 \\\newline\hline\newline\end{tabular}\newlineWhat is the probability that a randomly selected oar was not purchased in the 20102010s and was not made from spruce wood?\newlineSimplify any fractions.\newline \square
  1. Calculate Total Oars: Total oars from 20102010s: 22 (Spruce) + 22 (Ash) = 44. Total oars from 20202020s: 55 (Spruce) + 44 (Ash) = 99.
  2. Identify Oars from 20202020s: Total oars not from 20102010s: 99 (from 20202020s).
  3. Calculate Oars Not from 20102010s: Total oars not made from spruce wood: 22 (20102010s, Ash) + 44 (20202020s, Ash) = 66.
  4. Calculate Total Oars: Total oars: 44 (20102010s) + 99 (20202020s) = 1313.
  5. Identify Oars Not from 20102010s and Not Made from Spruce Wood: Oars not from 20102010s and not made from spruce wood: 44 (20202020s, Ash).
  6. Calculate Probability: Probability = Number of oars not from 2010s and not made from spruce woodTotal number of oars=413\frac{\text{Number of oars not from 2010s and not made from spruce wood}}{\text{Total number of oars}} = \frac{4}{13}.

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